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Percent Increase Calculator

Percentage Increase Formula:

\[ \text{Percentage Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 \]

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1. What is Percentage Increase?

Percentage increase measures the relative growth from an original value to a new value, expressed as a percentage. It's commonly used to track growth rates in finance, economics, statistics, and other fields.

2. How Does the Calculator Work?

The calculator uses the percentage increase formula:

\[ \text{Percentage Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 \]

Where:

Explanation: The formula calculates the difference between the new and old values, divides by the original value to get the relative change, then converts to a percentage by multiplying by 100.

3. Practical Applications

Details: Percentage increase is used in financial analysis (stock growth, price changes), business metrics (revenue growth), academic research (population growth), and personal finance (salary increases).

4. Using the Calculator

Tips: Enter the original value and the new value. Both values must be positive numbers, and the old value cannot be zero (division by zero is undefined).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between percentage increase and absolute increase?
A: Absolute increase is simply the difference (New - Old), while percentage increase shows the relative change compared to the original value.

Q2: How do I interpret a negative result?
A: A negative result indicates a percentage decrease rather than an increase.

Q3: What if my old value was zero?
A: Percentage change is undefined when starting from zero, as it would require division by zero.

Q4: Can I use this for percentage decrease calculations?
A: Yes, the same formula works - a decrease will simply show as a negative percentage.

Q5: How is this different from percentage points?
A: Percentage points measure absolute difference between percentages, while percentage increase measures relative change from an original value.

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